Gems of Combinatorial Optimization and Graph Algorithms

ISBN-13: 9783319249704 / Angielski / Twarda / 2016 / 150 str.

Andreas S. Schulz; Martin Skutella; Sebastian Stiller

Opis

Are you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science? Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

Recenzje

"Seventeen former advisees of Rolf H. Möhring contributed to this collection with fourteen short essays, on the occasion of his retirement. The result is a beautiful collection of results in combinatorial optimization, graph algorithms, algorithmic game theory and computational geometry, each suitable as a basis for a lecture or two in an advanced undergraduate or a graduate course. ... Nice examples, high quality illustrations and suggestion for further reading at the end of each chapter make the book truly valuable." (András Recski, Mathematical Reviews, October, 2016)

Spis treści

Shifting Segments to Optimality: Stefan Felsner.- Linear structure of graphs and the knotting graph: Ekkehard Köhler.- Finding Longest Geometric Tours: Sandor P. Fekete.- Generalized Hanan Grids for Geometric Steiner Trees in Uniform Orientation Metrics: Matthias Müller-Hannemann.- Budgeted Matching via the Gasoline Puzzle: Guido Schäfer.- Motifs in Networks: Karsten Weihe.- Graph Fill-In, Elimination Ordering, Nested Dissection and Contraction Hierarchies: Ben Strasser and Dorothea Wagner.- Shortest Path To Mechanism Design: Rudolf Müller and Marc Uetz.- Selfish Routing and Proportional: Resource Allocation: Andreas S. Schulz.- Resource Buying Games: Tobias Harks  and Britta Peis.- Linear, exponential, but nothing else - On pure Nash equilibria in congestion games and priority rules for single-machine scheduling: Max Klimm.- Convex quadratic programming in scheduling:  Martin Skutella.- Robustness and approximation for universal sequencing: Nicole Megow.- A Short Note on Long Waiting Lists: Sebastian Stiller.

O autorze

Andreas S. Schulz currently holds a chaired professorship at the Technische Universität München, where he has a joint appointment at the Center for Mathematics and the School of Management. Previously he was Head of the Operations Research and Statistics Group at the Sloan School of the Massachusetts Institute of Technology. His research interests span the theory and practice of mathematical optimization as well as computational economics and algorithmic game theory.

Martin Skutella is full professor in the Department of Mathematics at TU Berlin and member of the Research Center \textsc, “Mathematics for Key Technologies,” in Berlin. His main research interests lie in the area of efficient algorithms and combinatorial optimization, in particular in network optimization and scheduling. From 2009 to 2012, he was Editor-in-Chief of the Notices of the German Mathematical Society (DMV). 

Sebastian Stiller is Professor for Mathematical Optimization at TU Braunschweig, Germany. His research interests include robust optimization, game theory, network flows, and scheduling, with applications mainly in traffic, transport, logistics, and real-time systems. 

Dorothea Wagner heads the Institute of Theoretical Informatics at the Karlsruhe Institute of Technology.  Her research interests are in the field of graph algorithms and algorithm engineering with a focus on traffic optimiza

tion, social network analysis and network visualization.  She is currently a member of the German Council of Science and Humanities (Wissenschaftsrat) and served previously, for seven years as Vice President of the German Research Foundation (DFG).